The first Ajima-Malfatti point is the common intersection of the lines connecting the
vertices and corresponding circle-circle intersections in Malfatti's
problem (Kimberling and MacDonald 1990, Kimberling 1994). This point has triangle
center function
Similarly, letting , , and be the excenters of , then the lines , , and are coincident in another point called the second
Ajima-Malfatti point, which is Kimberling center (but is at present given erroneously
in Kimberling's tabulation).
These points are sometimes simply called the Malfatti points (Kimberling 1994).
is the common intersection of the lines connecting the
vertices and corresponding circle-circle intersections in Malfatti's
problem (Kimberling and MacDonald 1990, Kimberling 1994). This point has triangle
center function
, 
, and 
be the excenters of 
, then the lines 
, 
, and 
are coincident in another point called the second
Ajima-Malfatti point, which is Kimberling center 
(but is at present given erroneously
in Kimberling's tabulation).
